2/ Find the limit of the function lim X415 хъ Ч 2 X

Q: 7. Let R be the region bounded by y = √cos x, generated when R is revolved about the x-axis. (a) V=…

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Q: limg-0 2x sinx 4-4cosx

A: We can find the limit as below, using L'Hospital rule.

Q: hid. The line y d. The line y = -5/8 -5/8 redbuthents 2 y 0 X = ochiul 14 4 X = - y² 2 1 y² dibel 2…

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Q: III. Partial Fraction Decomposition: Evaluate the following integrals using partial fraction…

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Q: дz If x² sin(2y - 5z) = 1 + y cos(6zx) defines z implicitly as a function of x and y, find [Show…

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Q: Let k(x)=f(x)g(x)h(x). If f(−2)=−5,f′(−2)=9,g(−2)=−7,g′(−2)=8,h(−2)=3, and h′(−2)=−10 what is…

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Q: Find the integral of the following indefinite integral equations: Jx dx / (5 + 9x4) Jx dx/v(16-9x4

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Q: Select the number line that shows that two opposite numbers have a sum of 0. A. OB. C. D. 4 -8 -7 -6…

A: We have to solve above question Two opposite number have a sum of 0

Q: Ex3. Find the absolute maximum and the absolute minimum values of the function f(x, y) = 2 + 2x + 4y…

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Q: A region bounded by f(y) = √√√y, y = 4, and x = 0 is shown. What is the volume of the solid formed…

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Q: Evaluate the following antiderivatives. S dx √x²+2x+5

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Q: Use algebra to evaluate the following limits. 3x4 - 5x² x² 2x² - 2x-12 a) lim x-0 b) lim x+3 x²-9

A: Here we will use basic limit laws and algebra to find the limits.

Q: 2. Evaluate 6x²e4x³ dx.

A: Let 4x3 = t

Q: 2. Evaluate the definite integral|z- 3| dr. (a) (b) (c) (d) 25 2 25 2 29 29

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Q: Evaluate the integral. 11 sec 40 tan ²0 do 11 sec 40 tan ²0 d0 =

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Q: Give the component form of the vector represented by the directed line segment from (4, 5, 6) to (4,…

A: See this  solution in below

Q: ror(4)). 95. Find the restrictions in the domain, if any, for If there is more than one restriction,…

A: Note: The first question that is question 90 seems incomplete. So, solving 95 for you.

Q: 1. Find the area bounded by r = cos 0 for -π/2 ≤ 0 ≤π/2. 2. Find the length of the r(t)= , 1≤t≤ 5 3.…

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Q: S(x + ex+1) dx 0 2. Sx5¹2 (x³ + x² - 7) dx 0 2x + 1 3. dx 2 0 e

A: Topic = Integration

Q: p(x) Given the Rational Function f(x) = q(x) Assume the numerator and denominator have no common…

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Q: A baseball is hit 3 feet above the ground at 80 feet per second and at an angle of 45° with respect…

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Q: Evaluate f 10x(x² the following antiderivatives + 5) 7dx

A: The given integral is;  10x(x2+5)7.

Q: Use the definition of the definite integral to evaluate approximation to generate the Riemann sum. 3…

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Q: A region bounded by f(x) = x² + 1, y = 1, and x = 2 is shown below.

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Q: Question 1. A critical point of the function g(x, y) = ey + 3x²y-y is (0,0). Use the Second…

A: See this solution in below

Q: ) What function f(t) has Laplace transform: s² +1 f(s) = 5(s² + s−12) 2

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Q: where a = and b = 16 10% f(x) dx = f* f(x) 10 24 [*1 (2) dz - f(2) f(x) dx

A: To find the value of a and b.

Q: Let P be the set of points that belong to the shaded region imaginary The set P is (A) open (B)…

A: We can see that the outer boundary is not included in the region. So set is not closed.  We can see…

Q: 4. Find the area of the region bounded by y=6-2-2² and the z-axis. 125 (a) A= square units 6 (b) A =…

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Q: The right-endpoint approximation of the area under the curve of f(x) = x² over the interval [0, 2]…

A: fx=x2 over the interval 0,2 for n=4

Q: In Exercises 101-108, assume that each sequence converges and find its limit. 101. a₁ = 2, an+1 102.…

A: The objective of the question is determine the limit of the given sequence.

Q: Which point is the vertex of the parabola y = 6(x+3)^2 - 5?

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Q: Evaluate the following triple integral by hand: 2 √z } } } - dxdydz = 3 z=1 y=2 x=-1 X y

A: Topic = Integration

Q: The y-intercept of the parabola y = - (x-20)^2 + 100 is

A: The given equation of the parabola is: y=-x-202+100   As we know that; To determine y-intercept, we…

Q: 10. Integral 2-t dt

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Q: Use the matrices below to perform matrix multiplication. If the operation is undefined, enter NA. BD…

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Q: T² T³ T Y pln(y+z) e dxdzdy = [Show your solution.]

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Q: = [₁²₁ Use the Fundamental Theorem of Calculus, Part 1 to find the derivative of g (r) : = x² + 4dx.

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Q: 0. The equation 7(x) = 40cos(x-10)] + 160 describes how an element in a fur cyclically, where x is…

A: topic:- function

Q: Complete two iterations of Newton's Method for the function using the given initial guess. (Round…

A: Given :f(x)=cosxx1=1.6

Q: Use the formula for the area of a trapezoid to evaluate √₂² (2x- 2 (2x + 3) dx.

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Q: Find the coordinates of a point on the parabola y=−x² where the slope of the tangent is 5. x+3x+4

A: The given parabola is y=-x2+3x+4 We need to find the coordinates of the point on this parabola where…

Q: 1. The radioactive isotope hydrogen-3 has a half-life of 12.3 years. a. If a sample of 80 mg of…

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Q: ४ = (y3/2/3) - y¹/2 from y = 1 to y = 9

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Q: Which of the following represents the region of the complex plane defined by |z+1-2i| > 3? (A) (C)…

A: A detailed solution is given below.

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = √7-x, 1 ≤x≤7

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Q: car traveling at 45 ft/sec decelerates at a constant 7 feet per second per second. How many feet…

A: Given initial velocity (u)=45 ft/secFinal velocity, as brakes are applied (V)=0Acceleration=-7…

Q: CHECKPOINT 1.10 Find the total area between the function f(x) = 2x and the x-axis over the interval…

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Q: S Use The Fundamental Theorem of Calculus, Part 2 to evaluate X -4 dx.

A: A detailed solution is given below.

Q: 8. y = In (In (In x))

A: